Mark Allen
Mark Allen
Assistant Professor of Mathematics, Brigham Young University
Verified email at mathematics.byu.edu - Homepage
Title
Cited by
Cited by
Year
A parabolic problem with a fractional time derivative
M Allen, L Caffarelli, A Vasseur
Archive for Rational Mechanics and Analysis 221 (2), 603-630, 2016
1412016
Porous medium flow with both a fractional potential pressure and fractional time derivative
M Allen, L Caffarelli, A Vasseur
Chinese Annals of Mathematics, Series B 38 (1), 45-82, 2017
322017
The two-phase fractional obstacle problem
M Allen, E Lindgren, A Petrosyan
SIAM Journal on Mathematical Analysis 47 (3), 1879-1905, 2015
232015
A nondivergence parabolic problem with a fractional time derivative
M Allen
Differential and Integral Equations 31 (3/4), 215-230, 2018
202018
A fractional free boundary problem related to a plasma problem
M Allen
arXiv preprint arXiv:1507.06289, 2015
152015
Separation of a Lower Dimensional Free Boundary in a Two Phase Problem
M Allen
arXiv preprint arXiv:1203.6311, 2012
142012
A two-phase problem with a lower-dimensional free boundary
M Allen, A Petrosyan
Interfaces and Free Boundaries 14 (3), 307-342, 2012
112012
A new boundary Harnack principle (equations with right hand side)
M Allen, H Shahgholian
Archive for Rational Mechanics and Analysis 234 (3), 1413-1444, 2019
102019
Hölder regularity for nondivergence nonlocal parabolic equations
M Allen
Calculus of Variations and Partial Differential Equations 57 (4), 1-29, 2018
102018
Uniqueness for weak solutions of parabolic equations with a fractional time derivative
M Allen
arXiv preprint arXiv:1705.03959, 2017
82017
Free boundaries on two-dimensional cones
M Allen, HC Lara
The Journal of Geometric Analysis 25 (3), 1547-1575, 2015
8*2015
The two-phase parabolic Signorini problem
M Allen, W Shi
Indiana University Mathematics Journal, 727-741, 2016
52016
Linear stability implies nonlinear stability for faber-krahn type inequalities
M Allen, D Kriventsov, R Neumayer
arXiv preprint arXiv:2107.03495, 2021
32021
The fractional unstable obstacle problem
M Allen, MSV Garcia
Nonlinear Analysis 193, 111459, 2020
22020
Thin free boundary problems
MA Allen
Purdue University, 2013
22013
Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Friedman monotonicity formula
M Allen, D Kriventsov, R Neumayer
arXiv preprint arXiv:2107.03505, 2021
12021
The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations
M Allen, D Kriventsov, H Shahgholian
arXiv preprint arXiv:2010.11854, 2020
12020
A spiral interface with positive Alt–Caffarelli–Friedman limit at the origin
M Allen, D Kriventsov
Analysis & PDE 13 (1), 201-214, 2020
12020
A free boundary problem on three-dimensional cones
M Allen
Journal of Differential Equations 263 (12), 8481-8507, 2017
12017
Minimizers of a free boundary problem on three-dimensional cones
M Allen, B Barker, J Gardiner, M Zhao
arXiv preprint arXiv:2101.02262, 2021
2021
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Articles 1–20